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					Question 1                                                                     5 points Save
             The following table relates the grades in an advanced mathematics course
             to the student's year in college:




             Let E be the event that the student received a grade of B. Let F be the
             event that the student is a sophomore. Find P(F|E).




 Question 2                                                                         5 points Save
              Calculate the linear correlation coefficient for the following values: (2,
              11),(2, 6),(10, 6),(18, 2)


                    -0.83

 Question 3                                                                       5 points Save
              A survey revealed that 45% of people are entertained by reading books,
              25% by watching TV, and 14% are entertained by both books and TV.
              What is the probability that a person will be entertained by books given
              that the person is entertained by TV? Give results to the nearest tenth of
              a percent.


                    0.560

 Question 4                                                                        5 points Save
              The frequency setting for a garage door opener is determined by the
              positions of nine switches, each of which can be set to a "+" or "-"
              position. In how many ways can the switches be set?


                    512 ways

 Question 5                                                                       5 points Save
              A student is taking a standardized test consisting of multiple choice
              questions for which there are five options for each question. Seven points
              are awarded for each correct answer, but the student loses 2 points for
              an incorrect answer. Questions left blank neither receive nor lose points.
              Is it in the student's best interest to guess?
                   no

Question 6                                                                       5 points Save
             Using the digits 3, 4, 5, 6, 7, 8, and 9, how many 5-digit numbers can be
             constructed if the number must begin with an odd digit and digits may not
             be repeated?


                   1440

Question 7                                                                             5 points Save
             If two fair dice are rolled, what is the probability that a total of three
             shows?




Question 8                                                                         5 points Save
             Find the line of best fit for the following data.
             (24, 15), (26, 13), (28, 20), (30, 16), (32, 24)


                   y = 1.05x - 11.8

Question 9                                                                        5 points Save
             A box contains 26 blue marbles, 16 green marbles, and 8 red marbles.
             Two marbles are selected at random without replacement. Let E be the
             event that the first marble selected is green. Let F be the event that the
             second marble selected is green. Find P(F|E) .




Question 10                                                                    5 points Save
              Find the mean, median, and mode for the given distribution of 8, 6, 5, 3,
              12, 8, 8, 6, 3, 12, 8, 5, 15, 3, 8, 8, 5, 6, 3, 8


                    Mean = 7, median = 7, mode = 8

Question 11                                                                   5 points Save
              If a card is selected randomly from a standard 52-card deck, what is the
              probability that we draw a five?
Question 12                                                                     5 points Save
              This double-bar graph shows the number of male (M) and female (F)
              athletes at a university over a four-year period. Which year had the
              greatest number of female athletes?




                   1988

Question 13                                                                    5 points Save
              For a school project, Sue interviewed a total of 100 persons who were
              either lawyers or salesmen. She asked them if they were happy or
              unhappy with their occupation. Of the 55 lawyers interviewed, 12 were
              unhappy, however, only 7 of the salesmen were unhappy. Suppose that
              one of the persons interviewed is selected at random. Find the
              probability that the person selected is happy.

                   0.81

Question 14                                                                     5 points Save
              If a single card is drawn from a standard 52-card deck, what is the
              probability that it is either a six or a club?




Question 15                                                                   5 points Save
              The ages of people randomly surveyed on a college campus are
              summarized in the bar graph. How many people were 24 years old?
                    2

Question 16                                                                    5 points Save
              Assume that a distribution has a mean of 23 and a standard deviation of
              6. What percentage of the values in the distribution do we expect to fall
              between 23 and 35? Assume that the given distribution is normal.


                    47.5%

Question 17                                                                        5 points Save
              Consider the genetic possibilities for a child of parents who are both
              carriers of sickle cell anemia. What is the probability that the child will be
              a carrier of sickle cell anemia? (Solve using a Punnett sqaure)




Question 18                                                                     5 points Save
              Professor Kafka teaches an advanced probability class with an
              enrollment of 11 students. The front row has 9 chairs. A particular
              student, Carl, must sit in the front row between his tutor, Sue, and his
              best friend, Pat. In how many different ways can Professor Kafka assign
              students to sit in the first row?

              I don’t think this question is clear.

                    40,320
                    282,240
                    141,120
                    20,160

Question 19                                                                       5 points Save
              A box contains 26 blue marbles, 16 green marbles, and 8 red marbles.
              Two marbles are selected at random without replacement. Let E be the
              event that the first marble selected is green. Let F be the event that the
              second marble selected is green. Find P(F|E) .




Question 20                                                                        5 points Save
              48% of the area under the standard normal curve is above the score.
              Use a table to find a z-score that fits the given conditions. Interpolate if
              necessary.


                    0.05

Question 21                                                                     5 points Save


              Evaluate the expression        .


                    45

Question 22                                                                       5 points Save
              We roll a pair of dice. If the sum of the dice is 7, you pay me $25. If the
              sum is not 7, I pay you the number of dollars indicated by the sum of the
              dice. What is your expected value for the game?


                    $1.67

Question 23                                                                     5 points Save
              A survey revealed that 45% of people are entertained by reading books,
              25% by watching TV, and 14% are entertained by both books and TV.
              What is the probability that a person will be entertained by books given
              that the person is entertained by TV? Give results to the nearest tenth of
              a percent.


                    0.560

Question 24                                                                     5 points Save
              We roll a pair of dice. If the sum of the dice is 7, you pay me $25. If the
              sum is not 7, I pay you the number of dollars indicated by the sum of the
              dice. What is your expected value for the game?


                    $1.67

Question 25                                                                     5 points Save
              The table lists blood types in a sample of hospital patients. Construct a
              bar graph for the relative frequency data.




Question 26                                                                      5 points Save
              The office manager at an accounting firm counted the number of
              employees that were in the coffee room each hour during the work
              week. The results are summarized in the following bar graph. Find the
              mean and standard deviation of the given data. Round to the nearest
              tenth, if necessary.
                    Mean = 3.8, standard deviation = 2.6

Question 27                                                                    5 points Save
              Suppose that the mean salary in a particular profession is $45,000 with
              a standard deviation of $2,000. To what percentile does a salary of
              $48,000 correspond?

                    93rd

Question 28                                                                    5 points Save
              Assume that a distribution has a mean of 24 and a standard deviation of
              6. What percentage of the values in the distribution do we expect to fall
              below 12? Assume that the given distribution is normal.


                    2.5%

Question 29                                                                        5 points Save
              A pair of fair dice are rolled. Let E be the event that a five shows on the
              second die. Let F be the event that the total showing is odd. Are E and F
              dependent events?


                    yes

Question 30                                                                     5 points Save
              Construct a box-and-whisker plot for the given data.
              The test scores of 32 students are listed below.
              32 37 41 44 46 48 53 55
              57 57 59 63 65 66 68 69
              70 71 74 74 75 77 78 79
              81 82 83 86 89 92 95 99




Question 31                                                                    5 points Save
              There are 5 people in a club -- Cal, Elissa, Stephanie, Ken, and Pat. In
              how many ways can a President and a Treasurer be chosen for the
              club? (No person can hold both positions.)


                   20

Question 32                                                               5 points Save
              How many branches are required in a tree diagram showing how many
              ways three dice could be rolled?


                   216

Question 33                                                                  5 points Save
              How many different three-digit numbers can you form using the digits 1,
              2, 3, 5, 6, 7, and 9 without repetition?


                   210

Question 34                                                                      5 points Save
              A student is taking a standardized test consisting of multiple choice
              questions for which there are five options for each question. Four points
              are awarded for each correct answer, but the student loses 2 points for
              an incorrect answer. Questions left blank neither receive nor lose points.
              What is the minimum number of options that the student should be able
              to rule out before making a guess on any particular question?


                   Two

Question 35                                                                   5 points Save
              A law firm has eight male and six female lawyers. A committee of five,
              two male lawyers and three female lawyers, is to be chosen to represent
              the firm at a conference. How many committees are possible?

                   560

Question 36                                                                   5 points Save
              How many different two-digit numbers can you form using the digits 1, 2,
              3, 5, 6, 7, and 9 with repetition allowed?


                   49

Question 37                                                                   5 points Save
              Evaluate the expression P(6, 1)


                   6

Question 38                                                                      5 points Save
              Find the mean and standard deviation of the given data. (Rounded to
              the nearest tenth)
              The following are the heights, in inches, of a group of college students:
              72, 68, 62, 64, 66, 74, 70, 60, 63, 67, 69, 67


                   Mean = 66.8, standard deviation = 4.1

Question 39                                                                    5 points Save
              For a school project, Sue interviewed a total of 100 persons who were
              either lawyers or salesmen. She asked them if they were happy or
              unhappy with their occupation. Of the 55 lawyers interviewed, 12 were
              unhappy, however, only 7 of the salesmen were unhappy. Suppose that
              one of the persons interviewed is selected at random. Find the
              probability that the person selected is happy.

                   0.81

Question 40                                                                  5 points Save
              Find the number of permutations when 6 objects are taken 5 at a time.


                   720

Question 41                                                                     5 points Save
              If a single card is drawn from a standard 52-card deck, what is the
              probability that it is either a six or a club?




Question 42                                                                    5 points Save
              Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are
              placed in a box and mixed well. Two are drawn. What are the odds that
              the sum of the numbers on the two selected slips is 7?


                    1 to 6

Question 43                                                                        5 points Save
              What is the probability that 12 rolls of a die will show exactly three
              fours?


                    0.1974

Question 44                                                                     5 points Save
              Assume that in your earth science class you have earned the following
              test scores: 99, 92, 81, 92; and only one test remains. If you need a
              mean score of 90 to earn a "A", then what minimum score must you
              obtain on the last test?


                    86

Question 45                                                                   5 points Save
              If a card is selected randomly from a standard 52-card deck, what is the
              probability that we draw a five?




Question 46                                                                      5 points Save
              Let M = {S, P, O, M}. List all of the ways that you can select two different
              members of M. The order in which you select the members is important.

                    SP, SO, SM, PS, PO, PM, OS, OP, OM, MS, MP, MO

Question 47                                                                     5 points Save
              How many license plates are possible consisting of 4 letters followed by
              4 digits, if the first letter must be a C?


                    175,760,000

Question 48                                                                  5 points Save
              Find the standard deviation. (Round to one more place than the data)
              17, 12, 18, 19, 19, 12, 10, 7, 11

                    4.4
Question 49                                                                  5 points Save
              The following table relates the grades in an advanced mathematics
              course to the student's year in college:




              Let E be the event that the student received a grade of B. Let F be the
              event that the student is a sophomore. Find P(F|E).




Question 50                                                                  5 points Save
              A box contains 3 blue cards numbered 1 through 3, and 4 green cards
              numbered 1 through 4. List the sample space of picking a blue card
              followed by a green card.

                    {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2),
                    (3, 3), (3, 4)}

				
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